Geometric structure and randomness in texture analysis and synthesis

  • Authors:
  • Georgy Gimel'farb;Linjiang Yu;Dongxiao Zhou

  • Affiliations:
  • Centre for Image Technology and Robotics, Department of Computer Science, University of Auckland, Auckland, New Zealand;Centre for Image Technology and Robotics, Department of Computer Science, University of Auckland, Auckland, New Zealand;Centre for Image Technology and Robotics, Department of Computer Science, University of Auckland, Auckland, New Zealand

  • Venue:
  • Proceedings of the 11th international conference on Theoretical foundations of computer vision
  • Year:
  • 2002

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Abstract

Gibbs random field models describe image textures in terms of geometric structure and energy of pixel interactions. The interaction means statistical interdependence of signals, the structure is given by characteristic pixel neighbourhoods, and the energy depends on signal co-occurrences over the neighbourhoods. In translation invariant textures all the neighbourhoods have the same relative geometry. The interaction structure of such a texture is reflected in a model-based interaction map (MBIM) giving spatial distribution of the interaction energies over a large neighbourhood. We show that due to scale/orientation robustness, the MBIM allows to partition a given training sample into tiles acting as structural elements, or texels. Large-size textured images can be synthesised by replicating the training texels.